(a) From funds appropriated to the Department of Health and Human Resources, the secretary shall establish a system of assistance for facilitating the adoption or legal guardianship of children. An adoption subsidy shall be available for children who are legally free for adoption and who are dependents of the department. A legal guardianship subsidy may not require the surrender or termination of parental rights. For either subsidy, the children must be in special circumstances because one or more of the following conditions inhibit their adoption or legal guardianship placement:
(1) They have a physical or mental disability;